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Simplifying 3.7q + -3.2 + -3.8q = -1.1q + -5.3 Reorder the terms: -3.2 + 3.7q + -3.8q = -1.1q + -5.3 Combine like terms: 3.7q + -3.8q = -0.1q -3.2 + -0.1q = -1.1q + -5.3 Reorder the terms: -3.2 + -0.1q = -5.3 + -1.1q Solving -3.2 + -0.1q = -5.3 + -1.1q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '1.1q' to each side of the equation. -3.2 + -0.1q + 1.1q = -5.3 + -1.1q + 1.1q Combine like terms: -0.1q + 1.1q = 1q -3.2 + 1q = -5.3 + -1.1q + 1.1q Combine like terms: -1.1q + 1.1q = 0.0 -3.2 + 1q = -5.3 + 0.0 -3.2 + 1q = -5.3 Add '3.2' to each side of the equation. -3.2 + 3.2 + 1q = -5.3 + 3.2 Combine like terms: -3.2 + 3.2 = 0.0 0.0 + 1q = -5.3 + 3.2 1q = -5.3 + 3.2 Combine like terms: -5.3 + 3.2 = -2.1 1q = -2.1 Divide each side by '1'. q = -2.1 Simplifying q = -2.1
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